Although I'm pretty sure that Baringa is the better employer in terms of workplace culture, I would pick EY.

They are offering you slightly more, and working for a Big4 offers better exit options, especially as it seems to be your first gig in consulting.

After a couple of years at EY you can always choose to move to Baringa if you're keen on them, but you probably wouldn't want to leave Baringa to join a Big4. Your chance to earn that Big4 badge on your CV is now.